0,1

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).

S. Plouffe, Approximations de S\'{e}ries G\'{e}n\'{e}ratrices et Quelques Conjectures, Dissertation, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 1992.

M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards Applied Math. Series 55, 1964 (and various reprintings), p. 813.

M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards, Applied Math. Series 55, Tenth Printing, 1972 [alternative scanned copy].

S. Plouffe, Approximations de S\'{e}ries G\'{e}n\'{e}ratrices et Quelques Conjectures, Dissertation, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 1992.

S. Plouffe, 1031 Generating Functions and Conjectures, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 1992.

INRIA Algorithms Project, Encyclopedia of Combinatorial Structures 365

A001552:=-(5-60*z+255*z**2-450*z**3+274*z**4)/(z-1)/(4*z-1)/(3*z-1)/(2*z-1)/(5*z\ -1); [Conjectured by S. Plouffe in his 1992 dissertation.]

(PARI) a(n)=if(n<0, 0, sum(k=1, 5, k^n))

(Other) 1. sage: [3^n+sigma(4, n)+sigma(5, n)-1 for n in xrange(0, 22)] # 2. sage: [(1^n+2^n+3^n+4^n+ 5^n) for n in xrange(0, 22)] # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jun 04 2009]

Column 5 of array A103438.

Sequence in context: A149587 A149588 A137959 this_sequence A165731 A149589 A110614

Adjacent sequences: A001549 A001550 A001551 this_sequence A001553 A001554 A001555

nonn

N. J. A. Sloane (njas(AT)research.att.com).